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UNO [17]
3 years ago
7

Which luncuon escribes ud yait:

Mathematics
1 answer:
anastassius [24]3 years ago
5 0

Answer:

it is 27

Step-by-step explanation:

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Prove that<br> 1+cosθ+sinθ/1+cosθ-sinθ = 1+sinθ/cosθ
marusya05 [52]

Step-by-step explanation:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ)

Multiply by the reciprocal:

(1 + cos θ + sin θ) / (1 + cos θ − sin θ) × (1 + cos θ + sin θ) / (1 + cos θ + sin θ)

(1 + cos θ + sin θ)² / [ (1 + cos θ − sin θ) (1 + cos θ + sin θ) ]

(1 + cos θ + sin θ)² / [ (1 + cos θ)² − sin² θ) ]

Distribute and simplify:

(1 + cos θ + sin θ)² / (1 + 2 cos θ + cos² θ − sin² θ)

[ 1 + 2 (cos θ + sin θ) + (cos θ + sin θ)² ] / (1 + 2 cos θ + cos² θ − sin² θ)

(1 + 2 cos θ + 2 sin θ + cos² θ + 2 sin θ cos θ + sin² θ) / (1 + 2 cos θ + cos² θ − sin² θ)

Use Pythagorean identity:

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (sin² θ + cos² θ + 2 cos θ + cos² θ − sin² θ)

(2 + 2 cos θ + 2 sin θ + 2 sin θ cos θ) / (2 cos² θ + 2 cos θ)

(1 + cos θ + sin θ + sin θ cos θ) / (cos² θ + cos θ)

Factor:

(1 + cos θ + sin θ (1 + cos θ)) / (cos θ (1 + cos θ))

(1 + cos θ)(1 + sin θ) / (cos θ (1 + cos θ))

(1 + sin θ) / cos θ

3 0
3 years ago
In 2012, the cost of 3 ounces of silver was $2,460. What was the cost for 1 ounce?
KonstantinChe [14]

Answer:

820 ounces

Step-by-step explanation:

$2,460 divided by 3 = 820 ounces

820 x 3 = $2,460

3 0
3 years ago
Read 2 more answers
Add 4x²y,-2xy²,-5xy²,3x²y plz explain​
Vinil7 [7]
4x^2 - 2xy^2
5xy^2 +
3x^2y
_____________
12x^5y^4-2xy^2

This is so because 4+5+3 is 12, then using laws of indices to add your x and y you get x^5 and y^4

To simplify your answer to the lowest you have it in the form of
3x^2y^2(4x^2y - 2xy^2)

If you multiply this as well you get the same answer I got with the addition
3 0
3 years ago
Damon's father started a college fund on Damon's 8th birthday. He deposited $7500 into a CD (certificate of credit) that yields
algol13

Answer:

7672.50

Step-by-step explanation:

7500×0.23%=17.25

17.25×10=172.50

7500+172.50=7672.50

4 0
3 years ago
The lines represented by the equations 12y – 8x = -72 and y = 2/3 x – 3
klasskru [66]

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

5 0
3 years ago
Read 2 more answers
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